Ahmet Selman Kaya

$\mathrm{SL}_N$ Quantum-Torus Summands and Visible Nielsen Numbers

Let $M_\gamma=T^2\times_\gamma S^1$, where $\gamma\in\mathrm{SL}_2(\mathbb{Z})$ is hyperbolic. For every $N\geq2$, we compute the empty-skein, or quantum-torus, direct summand in Kinnear's decomposition of the $\mathrm{SL}_N$-skein module of $M_\gamma$, thereby answering his centralizer question for this summand in the...